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Finding the Third Proportional to 86,198,976 and 191,529,864

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Solution

The third proportional to 86,198,976 and 191,529,864 is: 425,569,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198,976 : 191,529,864 = 191,529,864 : x
  2. Step 2: Convert to fraction form
    86,198,976/191,529,864 = 191,529,864/x
  3. Step 3: Cross multiply
    86,198,976x = 191,529,864 × 191,529,864
  4. Step 4: Simplify right side
    86,198,976x = 36,683,688,803,858,496
  5. Step 5: Solve for x
    x = 36,683,688,803,858,496/86,198,976
  6. Step 6: Final answer
    x = 425,569,890.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.